57504318750720 has 1152 divisors, whose sum is σ = 211167133591680. Its totient is φ = 15025280385024.

The previous prime is 57504318750707. The next prime is 57504318750787. The reversal of 57504318750720 is 2705781340575.

57504318750720 is a `hidden beast` number, since 5 + 7 + 5 + 0 + 4 + 31 + 87 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75963432582 + ... + 75963433338.

It is an arithmetic number, because the mean of its divisors is an integer number (183304803465).

Almost surely, 2^{57504318750720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57504318750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105583566795840).

57504318750720 is an abundant number, since it is smaller than the sum of its proper divisors (153662814840960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57504318750720 is an frugal number, since it uses more digits than its factorization.

57504318750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 57504318750720 in words is "fifty-seven trillion, five hundred four billion, three hundred eighteen million, seven hundred fifty thousand, seven hundred twenty".